Final answer:
The mass in grams of 29,076 atoms of copper (Cu) is 3.068 x 10^-18 grams, calculated using the atomic mass of Cu and Avogadro's number.
Step-by-step explanation:
To calculate the mass in grams of 29,076 atoms of copper (Cu), we first need to determine the mass of a single copper atom in atomic mass units (amu). Using the atomic mass of Cu, which is 63.55 g/mol, we can convert this to amu by multiplying with the amu-to-grams conversion factor, where 1 amu = 1.6606 x 10-24 g. Then, we calculate the mass of 29,076 copper atoms by multiplying the mass of one Cu atom in grams with the number of atoms.
First, we find the mass of one Cu atom in grams:
Mass of one Cu atom = Atomic mass of Cu / Avogadro's number = 63.55 g/mol / 6.022 x 1023 atoms/mol
Next, we calculate the mass of 29,076 atoms:
Mass of 29,076 Cu atoms = (63.55 g/mol / 6.022 x 1023 atoms/mol) x 29,076 atoms
Let's perform the calculations:
- Mass of one Cu atom = 63.55 g/mol / 6.022 x 1023 = 1.055 x 10-22 grams/atom
- Mass of 29,076 Cu atoms = 1.055 x 10-22 grams/atom x 29,076 = 3.068 x 10-18 grams
Therefore, the mass of 29,076 atoms of Cu is 3.068 x 10-18 grams.